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Finding the Fourth Proportional to 424,722.48, 585,873.24 and 265,470

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Solution

The fourth proportional to 424,722.48, 585,873.24 and 265,470 is: 366,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,722.48 : 585,873.24 = 265,470 : x
  2. Step 2: Convert to fraction form
    424,722.48/585,873.24 = 265,470/x
  3. Step 3: Cross multiply
    424,722.48x = 585,873.24 × 265,470
  4. Step 4: Simplify right side
    424,722.48x = 155,531,769,022.80
  5. Step 5: Solve for x
    x = 155,531,769,022.80/424,722.48
  6. Step 6: Final answer
    x = 366,196.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.